GCD of 276, 622, 268, 345 Calculator

Given Input numbers are 276, 622, 268, 345

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 276, 622, 268, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 622, 268, 345 is 1.

Therefore, GCD of numbers 276, 622, 268, 345 is 1

Given Input Data is 276, 622, 268, 345

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 622 is 2 x 311

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 345 is 3 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(276, 622) = 85836

GCD(276, 622) = ( 276 x 622 ) / 85836

GCD(276, 622) = 171672 / 85836

GCD(276, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 276, 622, 268, 345 is 1

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1. What is the GCD of 276, 622, 268, 345?

GCD of 276, 622, 268, 345 is 1

2. Where do I get the detailed procedure to find GCD of 276, 622, 268, 345?

You can find a detailed procedure to find GCD of 276, 622, 268, 345 on our page.

3. How to find GCD of 276, 622, 268, 345 on a calculator?

You can find the GCD of 276, 622, 268, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.